Universal Tunneling and Anyon Molecule Spectroscopy of Moore-Read e/4 Quasiparticles — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Moore-Read Pfaffian quasiparticles (charge e/4, Ising-type non-Abelian anyons) tunnel at QPCs/antidots with a universal power-law exponent set by the chiral Luttinger liquid and the neutral Ising sector; antidot geometries confine anyon molecules whose spectroscopy probes the e/4 charge and θ=π/8 braiding phase. MATH: - Filling ν = 5/2; quasiparticle charge e* = νe = e/4 (from Laughlin/Halperin flux attachment; measured via shot noise, e.g. Dolev et al. 2008). - Chiral Luttinger liquid tunneling: I ∝ V^α, with α = 2Δ (Δ = scaling dimension). For edge quasiparticle tunneling α = 1/ν = 2 at ν=1/2; for ν=5/2 Pfaffian edge, α = 1/ν = 2 for the charged mode, modified by the neutral Majorana mode (Δ_neutral = 1/2). - Moore-Read wavefunction: Ψ = Pf(1/(z_i − z_j)) · ∏(z_i − z_j)^M, M even; Pfaffian = Ising conformal block. - Braiding phase: θ = π/8 (Ising σ field, conformal weight h = 1/16 → θ = 2πh = π/8). Fibonacci/Ising fusion: σ × σ = 1 + ψ. - Antidot: flux quantization Φ = n·h/ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225018398